Particle-hole symmetry is fundamental to Majoranas. This is the reason that Majorana bound states can appear quite naturally in superconductors. In fact, it is that symmetry that also protects the bound state!
In this video, Michael Wimmer will talk you through finding Majorana bound states in superconductors. After noting the particle-hole symmetry, he will explain why it is essential to look for superconductors with zero energy, which is difficult to find due to the Quantum mechanical zero-point motion. Michael concludes by giving an experimentalist's view on the subject.
- Basic particle physics (e.g., what are anti-particles and fermions)
- Superconductors (e.g., Cooper pairs, vortices, energy gap)
- Quantum mechanical zero-point motion
In the video Michael mentions that in reality the Majorana pairs cannot be placed infinitely far apart from each other. How far do you think is enough in order to achieve the goal of Majorana based quantum computing?
The video on this page only covers the beginning of topological quantum computing. Make sure to check out other videos on the subject that we have on our platform!
If you are interested in an introduction that is a bit more mathematical than this video, make sure to check out these notes from Arnold Sommerfeld Center for theoretical physics (LMU Munich). These notes cover more content than is covered in the video above.
Is the Majorana concept still a bit vague? Or are you interested in reading a bit of a less formal text about the subject? Make sure to check out this blog post of a Ph.D. student at QuTech about Majorana bound states!
For an expert insight on topological superconductivity and Majorana fermions, take a look at this review paper. The paper is quite technical, but gives an excellent introduction to the subject: